Primary Research on Several Theorems, Laws and Corollaries of Hydrology 几条水文学定理·定律和推论研究初探
The condition under which the form invariance can lead to a conserved quantity and the form of the conserved quantity were deduced, and three corollaries in special cases were given. 得到形式不变性导致守恒量的条件以及守恒量的形式,并给出三种特殊情形下的推论。
As corollaries, some Shannon-Mcmillan theorems for arbitrary information source, m-order Markov information source are obtained and some results for the discrete information source are extended. 得出了若干任意信源、m阶马氏信源、无记忆信源的渐进均匀分割性定理,并将已有的关于离散信源的结果进行了推广。
The important cases of divisible submodule and pure submodule are explored and some corollaries are gotten. 文中考虑了可除子模和纯子模的重要情形,并得出一些推论。
There are important corollaries to the investigative power. 调查权力有一些重要的自然结果。
Destruction and suffering are corollaries of war. 毁灭和苦难是战争的必然结果。
There are many corollaries to the discussion presented in these two chapters on energy. 在能源这两章里面,提出了许多需要讨论的问题。
In this paper we discuss the monotonicity of some operator functions and show their interesting corollaries. 本文讨论了部分算子函数的单调性并且给出了其有趣的推论。
As corollaries, some classical limit theorems for the sequences of independent random variables and a class of limit theorem for martingale difference sequences are obtained. 作为推论,得到了若干经典的独立随机变量序列的极限定理和一类鞅差序列的极限定理。
Some corollaries on tutte's theorem Tutte定理的几个推论
This paper describes linked operators of a Software Architecture operator set further, and finally deduces some corollaries and theorems on an operator set. 文章深入地阐述了用于描述软件体系结构的算子集的另一种运算&链接运算,并推导了关于算子链接运算的若干推论及定理。
According to that, two correlativity theorems and three corollaries of basic changing topology ways of the variable topology mechanisms are discovered, put forward and proved strictly. 依据该基本原理,发现、提出并充分证明了变拓扑机构基本变拓扑方式的两个相关性定理及其三个推论。
In this paper the auther puts forward the stereographic projection in which the projection plane is the equatorial plane of projection-sphere, recommends the rules about perspective mapping of plane field in projective geometry and reveals two corollaries in stereographic projection. 本文提出了以投影圆球之赤道平面为投影平面的一种球极投影,首次引入了射影几何理论中关于平面场透视变换的双旋法则,并得到了两个关于球极投影的推论。
Finally, some useful corollaries are obtained which include the algebraic expression of stabilizing controllers for linear continuous and discrete time systems. 最后,得到了若干有益的推论,包括线性离散及连续系统稳定化控制器的统一代数表示等。
In this paper we study the problem of the local center of the Generalized Li é nard system, and give a theorem and three corollaries. The conditions of the theorem is weaken and two results are practical. 本文利用比较方法研究了广义Liénard方程广义Liénard问题,给出了一个定理及三个推论,定理的条件相对比较弱,结果也比较实用。
In the course of the proving, as regards the theorem we also propose three lemmata and two corollaries which can be applied directly in practice. 在证明过程中,我们还提出了有关该定理在实际中可以直接应用的3个引理和2个推论。
In this paper a matrix theorm is proved and two corollaries of it was given. 本文首先建立了一个矩阵定理,给出了该定理的两个推论。
Two corollaries have been cited for its applications. 举例说明了应用于静电学和几何光学的两个推论。
On the basis of general system theory and system model theory, this paper presents a group of principles concerned the structure for global system& including ten basic theories and their corollaries. 本文简要介绍了系统科学的概况,并在一般系统理论和系统模型论的基础之上,着重提出了关于广义系统理论的结构性定理组,包括十个基本定理及其推论。
This paper puts forward some inequalities in relation to the trace of arbitrary infinite complex matrices, which extend to anti-Hermitian matrices and Cauchy inequality and embody the results in paper 〔 1 〕,〔 2 〕, and 〔 3 〕 as corollaries. 本文给出了关于任意n阶复矩阵迹的几个不等式,作为它的推论,包括了文[1,2]中相应的内容,并拓广到反厄米特矩阵和Cauchy不等式。
In section 3, we study the coexistence of the system and derive sufficient conditions of the system and some important corollaries. 第三节研究了系统的共存问题,给出了系统共存的充分条件及一些重要推论;
We utilize the results in Chapter 2 and Chapter 3 to prove the fixed point theorems and several corollaries for complex mappings or single mapping on fuzzy metric spaces. 利用第二、第三章的结果证明了模糊度量空间上相应的复合映射的不动点定理和几个单一映射的不动点定理。
The almost surely exponential stability of a Hopfield type stochastic neural network was studied by using the Lyapunov function and It formula, and a theorem and two corollaries were proved. 利用Lyapunov泛函和It^o公式,研究了具有时滞的随机Hopfield型神经网络的几乎指数稳定性,证明了一个定理和两个推论。
Besides, two corollaries and an example for application are shown. 同时还给出了两个推论和一个作为应用的例子。
Two corollaries of perspective in stereographic projection and their applications 球极投影中关于透视的两个推论及其应用
In this paper, we study the local convergence theorems for B-valued sequence of random variables. As corollaries, a class of limit theorems for B-valued martingale difference sequences and some classical limit theorems for the sequences of independent random variables arc obtained. 研究取值于Barach空间随机变量序列的一类局部收敛定理,作为推论,得到了一类B值鞅差序列的极限定理和经典的独立随机变量序列的极限定理。
Point out that the process neuron can be approximated infinitely using the traditional neuron, present two approximating theorems and their detailed proof, and give two related corollaries. 指出了过程神经元可用传统神经元进行无限逼近,给出了两个逼近定理和证明,以及相关的两个推论。
And the generalized Schwarz inequality for complex Riesz homomorphism is obtained as well as some useful corollaries. Finally, complex orthomorphism which is intimate with complex f-algebra is fully studied. 证明了复Riesz同态满足推广的Schwarz不等式,并得到相关的有用推论。最后,研究了和复f-代数密切相关的一类算子:复正交射。